The correct option is A carefully
Here, 'carefully' as an Adverbs of Manner is correct because it implies doing something with a lot of attention or thought, so that you avoid hurting yourself, damaging something or doing something wrong. Here, 'crossing of the road has been done 'carefully'.
'Correctly' as an adverb is incorrect because it implies in a way that is accurate or true, without any mistakes.
'Bravely' as an adverb implies doing something in a way that shows courage.
'Fluently' is incorrect as it implies doing something in a smooth and skilful way.